Find the matrix A of the quadratic form associated with the equation. 27x2 – 72xy + 48y2 – 80x – 80y + 80 = 0 A = Find the eigenvalues of A. (Enter your answers as a comma-separated list.) Find an orthogonal matrix P such that P'AP is diagonal. (Enter the matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.) P =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the matrix A of the quadratic form associated with the equation.
27x2 – 72xy + 48y2 – 80x - 80y + 80 = 0
A =
Find the eigenvalues of A. (Enter your answers as a comma-separated list.)
Find an orthogonal matrix P such that P'AP is diagonal. (Enter the matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.)
P =
Transcribed Image Text:Find the matrix A of the quadratic form associated with the equation. 27x2 – 72xy + 48y2 – 80x - 80y + 80 = 0 A = Find the eigenvalues of A. (Enter your answers as a comma-separated list.) Find an orthogonal matrix P such that P'AP is diagonal. (Enter the matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.) P =
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